Generalized holomorphic bundles and the B-field action

Abstract

On a generalized complex manifold there is an associated definition of a generalized holomorphic bundle, introduced by Gualtieri. This notion in the case of an ordinary complex structure yields an object which we call a co-Higgs bundle and we consider the B-field action of a closed form of type (1,1), both local and global. The effect makes contact with both Nahm's equations and holomorphic gerbes.

19 pages

References in corpus (2)

• Lectures on Special Lagrangian Submanifolds
• Generalized Kahler geometry

Cited by in corpus (20)

• Constructing co-Higgs bundles on CP^2
• Cosmological Implications from O(D,D)
• Constructions and classifications of projective Poisson varieties
• On holomorphic maps and Generalized Complex Geometry
• Introduction to Nonabelian Hodge Theory: flat connections, Higgs bundles and complex variations of Hodge structure
• Gauge Transformation of Double Field Theory for Open String
• Dimensional Reduction of the Generalized DBI
• Rank two nilpotent co-Higgs sheaves on complex surfaces
• The quiver at the bottom of the twisted nilpotent cone on ${\mathbb{P}}^1$
• Co-Higgs bundles on P^1
• A vanishing theorem for co-Higgs bundles on the moduli space of bundles
• Principal co-Higgs bundles on ${\mathbb{P}}^1$
• Homogeneous Higgs and co-Higgs bundles on Hermitian symmetric spaces
• Equivariant Gerbes on Complex Tori
• Toric co-Higgs bundles on toric varieties
• Rational Morita equivalence for holomorphic Poisson modules
• Meromorphic Line Bundles and Holomorphic Gerbes
• Differential calculus for generalized geometry and geometric Lax flows
• The Atiyah class of generalized holomorphic vector bundles
• Frobenius Structures and Generalized Deformation of Kodaira Manifolds